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GAP implementation

Group ID

This finite group has order 60 and has ID 5 among the groups of order 60 in GAP's SmallGroup library. For context, there are 13 groups of order 60. It can thus be defined using GAP's SmallGroup function as:

SmallGroup(60,5)

For instance, we can use the following assignment in GAP to create the group and name it :

gap> G := SmallGroup(60,5);

Conversely, to check whether a given group is in fact the group we want, we can use GAP's IdGroup function:

IdGroup(G) = [60,5]

or just do:

IdGroup(G)

to have GAP output the group ID, that we can then compare to what we want.

Equivalent command: Running this command constructs the group as AlternatingGroup(5).

Memory usage: The memory usage for the SmallGroup construction is 1452.